LMOrigami24 Sonobe 12 piece Octahedral with variable pyramids

Page 24 of “Learning Mathematics with Origami” by Tung Ken Lam and Sue Pope published by the Association of Teachers of Mathematics
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Move the big red dot to set the heights of the pyramids. [br][br][br][br]
Why doesn't the construction work well when the pyramids are reentrant?[br]How could you improve the construction?[br][br][br]
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